Module 7: Rational Functions and Function Operations

 

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Try This 1

 

In 2008, the GST rate in Canada was reduced from 7% to 5%.

 

Cost of Item ($) Amount Paid Before Tax ($) 5% GST ($) 7% GST ($) Total Cost with 5% GST ($) Total Cost with 7% GST ($) Difference in Tax Amount ($)
1 1 0.05 0.07 1.05 1.07 0.02
2 2 0.10 0.14 2.10 2.14 0.04
3 3 0.15 0.21 3.15 3.21 0.06
4 4 0.20 0.28 4.20 4.28 0.08
5 5 0.25 0.35 5.25 5.35 0.10
  1. Explain how the values in each of the columns can be determined.
  2.  
    1. Explain a two-step process that can be used to determine the Total Cost with 5% GST from the cost of the item.
    2. Explain a one-step process to determine the Total Cost with 5% GST from the cost of the item.
    3. Explain a one-step process that can be used to determine the Difference in Tax Amount.
    4. Why might you be interested in using a one-step process instead of a multi-step process for these calculations?
  3. Open Calculating Tax.

    This is a play button that opens Calculating Tax.
    1. Select to show only the plots for Amount Paid Before Tax, 5% GST, and Cost with 5% GST.
    2. Explain how the Cost with 5% GST points can be determined from the Amount Paid Before Tax points and the 5% GST points.
    3. Select to show only the 5% GST, 7% GST, and Difference in Tax Amount points. Explain how the Difference in Tax Amount points can be determined from the 5% GST points and the 7% GST points.

course folder Save your responses in your course folder.

 

Share 1

 

With a partner or group, discuss the following question based on the information from Try This 1:

 

Suppose f(x) and g(x) represent the amount of tax paid on x dollars of goods purchased. How could you represent the difference in the amount paid for these two tax rates?

 

course folder If required, save a record of your discussion in your course folder.